Here is a hypothesis: The electron is a topological knot in imaginary Kaluza-Klein geometry (ix5 as Phase)
Hi everyone, I'm an independent researcher. Following the sub's guidelines, I've familiarized myself with the classical Kaluza-Klein theories (1921) and their stability problems (O. Klein, 1926).
Hypothesis: Instead of treating the 5th dimension as a spatial direction (which contradicts observations and causes other problems in the theory itself), I propose treating it as an imaginary coordinate (ix5).
The Model: The electron is modeled not as a point, but as a stable topological knot (soliton) created by twisting this phase field in 3D spacetime.
Interpretation: This imaginary dimension strictly acts as the U(1) gauge phase (inner space/fiber), not as a physical direction of motion.
Why is this worth considering?
- It naturally derives the charge quantization from the number of knot windings (topology).
- It explains mass as the tension at this junction (finite energy), eliminating singularities.
- It creates a bridge between general relativity and quantum phase without the need for additional spatial dimensions, as in string theory.
- Koide's formula, although empirical, fits here as a derivation from geometry.
I have published a preprint on Zenodo. I would be interested in hearing the opinions of both scientists and enthusiasts on the logic of my hypothesis.
Posted Dec 9, 2025, 8:35 AM UTC